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Solve 4x + 7 = 75

The solution of 4x + 7 = 75 is x = 17.

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The lines y = 4x + 7 and y = 75 meet at x = 171214161820225060708090100x = 17y = 4x + 7y = 75
The lines y = 4x + 7 and y = 75 meet at x = 17. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    4x+7=754x + 7 = 75
  2. 2

    Subtract 7 from both sides:

    4x+7−7=75−7 ⇒ 4x=684x + 7 - 7 = 75 - 7 \ \Rightarrow\ 4x = 68
  3. 3

    Divide both sides by 4:

    4x4=684 ⇒ x=17\frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    4⋅17+7=68+7=75✓4\cdot17 + 7 = 68 + 7 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 75\ \Rightarrow\ x = 17 \]
\[ 4x + 7 = 75 \]
\[ 4x + 7 - 7 = 75 - 7 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 + 7 = 68 + 7 = 75 \checkmark \]

Trying values of x in 4x + 7 = 75

x4x + 7Equals 75?
1567no
1671no
1775yes
1879no
1983no

Questions

What is x in 4x + 7 = 75?

The solution of 4x + 7 = 75 is x = 17.

How do you solve 4x + 7 = 75?

Subtract 7 from both sides to get 4x = 68, then divide both sides by 4 to get x = 17.

How do I check the answer?

Replace x by 17: 4(17) + 7 = 75, which is 75.

Similar equations

    Solve 4x + 7 = 75: x = 17 (steps and check) | WordGPT